Answer:
The water droplet will hit the ground 1.58 seconds after it started falling.
Step-by-step explanation:
The function:
y = -16*t^2 + 40
represents the height of a water droplet t seconds after falling from an icicle.
We want to find the value of t such that the water droplet hits the ground, and this will happen when y = 0.
Then we only need to solve the equation:
0 = y = -16*t^2 + 40
0 = -16*t^2 + 40
16*t^2 = 40
t^2 = 40/16
t = √(40/16) = 1.58
The water droplet will hit the ground 1.58 seconds after it started falling.
